TSTP Solution File: SET586+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:54:25 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 07:34:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(prove_intersection_of_subset, conjecture, ! [_17225, _17228, _17231] : (subset(_17225, _17228) => subset(intersection(_17225, _17231), intersection(_17228, _17231))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_intersection_of_subset)).
% 0.38/1.41 fof(intersection_defn, axiom, ! [_17431, _17434, _17437] : (member(_17437, intersection(_17431, _17434)) <=> member(_17437, _17431) & member(_17437, _17434)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.38/1.41 fof(subset_defn, axiom, ! [_17656, _17659] : (subset(_17656, _17659) <=> ! [_17677] : (member(_17677, _17656) => member(_17677, _17659))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_intersection_of_subset)).
% 0.38/1.41 cnf(2, plain, [subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], clausify(prove_intersection_of_subset)).
% 0.38/1.41 cnf(3, plain, [member(_7820, intersection(_7703, _7762)), -(member(_7820, _7703))], clausify(intersection_defn)).
% 0.38/1.41 cnf(4, plain, [member(_7820, intersection(_7703, _7762)), -(member(_7820, _7762))], clausify(intersection_defn)).
% 0.38/1.41 cnf(5, plain, [-(member(_7820, intersection(_7703, _7762))), member(_7820, _7703), member(_7820, _7762)], clausify(intersection_defn)).
% 0.38/1.41 cnf(6, plain, [-(subset(_8216, _8272)), -(member(1 ^ [_8272, _8216], _8216))], clausify(subset_defn)).
% 0.38/1.41 cnf(7, plain, [-(subset(_8216, _8272)), member(1 ^ [_8272, _8216], _8272)], clausify(subset_defn)).
% 0.38/1.41 cnf(8, plain, [subset(_8216, _8272), member(_8386, _8216), -(member(_8386, _8272))], clausify(subset_defn)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))],start(2)).
% 0.38/1.41 cnf('1.1',plain,[-(subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])))],extension(6,bind([[_8272, _8216], [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []))],extension(3,bind([[_7762, _7820, _7703], [5 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(5,bind([[_7703, _7820, _7762], [3 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],extension(4,bind([[_7703, _7820, _7762], [3 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])), -(subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(7,bind([[_8216, _8272], [intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1.1.1.1',plain,[subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))],extension(2)).
% 0.38/1.41 cnf('1.1.1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ []))), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 4 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ [])],extension(5,bind([[_7703, _7820, _7762], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 4 ^ [])), subset(3 ^ [], 4 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [])],extension(8,bind([[_8272, _8386, _8216], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1.2.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.1.2.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []))],reduction('1.1.1')).
% 0.38/1.41 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ [])), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ []))],extension(4,bind([[_7820, _7703, _7762], [1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [], 5 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41
% 0.38/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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